Branes in a Time Dependent Universe

TL;DR

This paper presents new solutions for uncharged branes in a time-dependent universe, extending McVittie's solutions, and explores their application to brane-antibrane decay and tachyon condensation.

Contribution

It introduces a novel ansatz for uncharged branes in dynamic backgrounds, generalizing previous static solutions to time-dependent cosmological settings.

Findings

Derived explicit solutions for uncharged branes in a time-dependent universe

Discussed the application of these solutions to brane-antibrane decay processes

Outlined necessary modifications for modeling tachyon condensation

Abstract

Long ago, McVittie had found a class of solutions which can be thought of as Schwarzschild black holes in an FRW universe. In recent years they have been studied extensively and generalised to charged and uncharged black holes in D \ge 4 dimensions also. Here, assuming an ansatz similar to McVittie's, we present solutions for uncharged branes which can be thought of as branes in a time dependent universe. We consider their application to the brane antibrane decay process, also referred to as tachyon condensation, and discuss the necessary generalisations required for our ansatz to describe such a process.